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Finding the Fourth Proportional to 1,057.06, 1,585.59 and 441.06

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Solution

The fourth proportional to 1,057.06, 1,585.59 and 441.06 is: 661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.06 : 1,585.59 = 441.06 : x
  2. Step 2: Convert to fraction form
    1,057.06/1,585.59 = 441.06/x
  3. Step 3: Cross multiply
    1,057.06x = 1,585.59 × 441.06
  4. Step 4: Simplify right side
    1,057.06x = 699,340.33
  5. Step 5: Solve for x
    x = 699,340.33/1,057.06
  6. Step 6: Final answer
    x = 661.59

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.